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505455353350656 = 2934149731613947
BaseRepresentation
bin111001011101101010111111…
…0110010010100101000000000
32110021200001121122100200222220
41302323111332302110220000
51012222340030424210111
64551002552252531040
7211315641565352112
oct16273257662245000
92407601548320886
10505455353350656
11137065458855315
1248834773180a80
1318906309c51bc7
148cb62536973b2
153d680c1360e06
hex1cbb57ec94a00

505455353350656 has 160 divisors (see below), whose sum is σ = 1379685926824128. Its totient is φ = 164342569205760.

The previous prime is 505455353350621. The next prime is 505455353350709. The reversal of 505455353350656 is 656053353554505.

It is a super-2 number, since 2×5054553533506562 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505455353350656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312372675 + ... + 313986621.

Almost surely, 2505455353350656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505455353350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689842963412064).

505455353350656 is an abundant number, since it is smaller than the sum of its proper divisors (874230573473472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505455353350656 is a wasteful number, since it uses less digits than its factorization.

505455353350656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618982 (or 1618966 counting only the distinct ones).

The product of its (nonzero) digits is 303750000, while the sum is 60.

The spelling of 505455353350656 in words is "five hundred five trillion, four hundred fifty-five billion, three hundred fifty-three million, three hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1312 1536 1968 2624 3936 4973 5248 7872 9946 10496 14919 15744 19892 20992 29838 31488 39784 59676 62976 79568 119352 159136 203893 238704 318272 407786 477408 611679 636544 815572 954816 1223358 1273088 1613947 1631144 1909632 2446716 2546176 3227894 3262288 3819264 4841841 4893432 6455788 6524576 7638528 9683682 9786864 12911576 13049152 19367364 19573728 25823152 26098304 38734728 39147456 51646304 52196608 66171827 77469456 78294912 103292608 104393216 132343654 154938912 156589824 198515481 206585216 264687308 309877824 313179648 397030962 413170432 529374616 619755648 794061924 826340864 1058749232 1239511296 1588123848 2117498464 2479022592 3176247696 4234996928 6352495392 8026158431 8469993856 12704990784 16052316862 16939987712 24078475293 25409981568 32104633724 33879975424 48156950586 50819963136 64209267448 96313901172 101639926272 128418534896 192627802344 256837069792 329072495671 385255604688 513674139584 658144991342 770511209376 987217487013 1027348279168 1316289982684 1541022418752 1974434974026 2054696558336 2632579965368 3082044837504 3948869948052 4109393116672 5265159930736 6164089675008 7897739896104 10530319861472 12328179350016 15795479792208 21060639722944 31590959584416 42121279445888 63181919168832 84242558891776 126363838337664 168485117783552 252727676675328 505455353350656