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2745150114624 = 263311660327779
BaseRepresentation
bin100111111100100111101…
…100101000101101000000
3100201102201020020201022120
4213330213230220231000
5324434031412131444
65501034330004240
7402221243654601
oct47744754505500
910642636221276
102745150114624
119692367458a5
12384041276680
1316bb35a51568
1496c1a33bda8
154b61ac76b19
hex27f27b28b40

2745150114624 has 112 divisors (see below), whose sum is σ = 7498228254720. Its totient is φ = 885447083520.

The previous prime is 2745150114613. The next prime is 2745150114689. The reversal of 2745150114624 is 4264110515472.

2745150114624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27451501146242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 98807167 + ... + 98834945.

It is an arithmetic number, because the mean of its divisors is an integer number (66948466560).

Almost surely, 22745150114624 is an apocalyptic number.

2745150114624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2745150114624 is an abundant number, since it is smaller than the sum of its proper divisors (4753078140096).

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

2745150114624 is a wasteful number, since it uses less digits than its factorization.

2745150114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44428 (or 44418 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 2745150114624 in words is "two trillion, seven hundred forty-five billion, one hundred fifty million, one hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 16603 27779 33206 49809 55558 66412 83337 99618 111116 132824 166674 199236 222232 265648 333348 398472 444464 514693 531296 666696 796944 861149 888928 1029386 1062592 1333392 1544079 1593888 1722298 1777856 2058772 2583447 2666784 3088158 3187776 3444596 4117544 5166894 5333568 6176316 6889192 8235088 10333788 12352632 13778384 16470176 20667576 24705264 27556768 32940352 41335152 49410528 55113536 82670304 98821056 165340608 461214737 922429474 1383644211 1844858948 2767288422 3689717896 5534576844 7379435792 11069153688 14297656847 14758871584 22138307376 28595313694 29517743168 42892970541 44276614752 57190627388 85785941082 88553229504 114381254776 171571882164 228762509552 343143764328 457525019104 686287528656 915050038208 1372575057312 2745150114624