Search a number
-
+
54960626520 = 2333552397303
BaseRepresentation
bin110011001011111010…
…001001101101011000
312020212022010002221000
4303023322021231120
51400024410022040
641125404545000
73653655421512
oct631372115530
9166768102830
1054960626520
1121343928198
12a79a252160
13524b6c3ca7
1429354a2bb2
15166a120130
hexccbe89b58

54960626520 has 128 divisors (see below), whose sum is σ = 183554265600. Its totient is φ = 14627993472.

The previous prime is 54960626489. The next prime is 54960626531. The reversal of 54960626520 is 2562606945.

It is a happy number.

54960626520 is a `hidden beast` number, since 5 + 4 + 9 + 60 + 62 + 6 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516189 + ... + 613491.

It is an arithmetic number, because the mean of its divisors is an integer number (1434017700).

Almost surely, 254960626520 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 54960626520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91777132800).

54960626520 is an abundant number, since it is smaller than the sum of its proper divisors (128593639080).

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

54960626520 is a wasteful number, since it uses less digits than its factorization.

54960626520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97846 (or 97836 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 54960626520 in words is "fifty-four billion, nine hundred sixty million, six hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 523 540 1046 1080 1569 2092 2615 3138 4184 4707 5230 6276 7845 9414 10460 12552 14121 15690 18828 20920 23535 28242 31380 37656 47070 56484 62760 70605 94140 97303 112968 141210 188280 194606 282420 291909 389212 486515 564840 583818 778424 875727 973030 1167636 1459545 1751454 1946060 2335272 2627181 2919090 3502908 3892120 4378635 5254362 5838180 7005816 8757270 10508724 11676360 13135905 17514540 21017448 26271810 35029080 50889469 52543620 101778938 105087240 152668407 203557876 254447345 305336814 407115752 458005221 508894690 610673628 763342035 916010442 1017789380 1221347256 1374015663 1526684070 1832020884 2035578760 2290026105 2748031326 3053368140 3664041768 4580052210 5496062652 6106736280 6870078315 9160104420 10992125304 13740156630 18320208840 27480313260 54960626520