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2794938645248 = 28373537691087
BaseRepresentation
bin101000101010111111010…
…100110011101100000000
3100220012020002011010111022
4220222333110303230000
5331243013243121443
65535551015005012
7405633120333551
oct50527724635400
910805202133438
102794938645248
11988366001872
12391817369768
1317373ba4c679
14993c0942328
154ca81c98e68
hex28abf533b00

2794938645248 has 144 divisors (see below), whose sum is σ = 5758738782720. Its totient is φ = 1352839200768.

The previous prime is 2794938645241. The next prime is 2794938645253. The reversal of 2794938645248 is 8425468394972.

It is a Cunningham number, because it is equal to 16718072-1.

It is not an unprimeable number, because it can be changed into a prime (2794938645241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2571240161 + ... + 2571241247.

Almost surely, 22794938645248 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 2794938645248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879369391360).

2794938645248 is an abundant number, since it is smaller than the sum of its proper divisors (2963800137472).

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

2794938645248 is a wasteful number, since it uses less digits than its factorization.

2794938645248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2248 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 71.

The spelling of 2794938645248 in words is "two trillion, seven hundred ninety-four billion, nine hundred thirty-eight million, six hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 353 592 706 769 1087 1184 1412 1538 2174 2368 2824 3076 4348 4736 5648 6152 8696 9472 11296 12304 13061 17392 22592 24608 26122 28453 34784 40219 45184 49216 52244 56906 69568 80438 90368 98432 104488 113812 139136 160876 196864 208976 227624 271457 278272 321752 383711 417952 455248 542914 643504 767422 835903 835904 910496 1085828 1287008 1534844 1671806 1671808 1820992 2171656 2574016 3069688 3343612 3343616 3641984 4343312 5148032 6139376 6687224 7283968 8686624 10043909 10296064 12278752 13374448 14197307 17373248 20087818 24557504 26748896 28394614 30928411 34746496 40175636 49115008 53497792 56789228 61856822 69492992 80351272 98230016 106995584 113578456 123713644 160702544 213991168 227156912 247427288 295073759 321405088 454313824 494854576 590147518 642810176 908627648 989709152 1180295036 1285620352 1817255296 1979418304 2360590072 2571240704 3634510592 3958836608 4721180144 7917673216 9442360288 10917729083 18884720576 21835458166 37769441152 43670916332 75538882304 87341832664 174683665328 349367330656 698734661312 1397469322624 2794938645248