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34748645472 = 25321071127617
BaseRepresentation
bin100000010111001011…
…100100000001100000
310022200200201002100100
4200113023210001200
51032131123123342
623544024022400
72340050420202
oct402713440140
9108620632310
1034748645472
1113811782722
126899301a00
13337a1288a8
141978d9a772
15d8597ee4c
hex8172e4060

34748645472 has 72 divisors (see below), whose sum is σ = 99740067336. Its totient is φ = 11474620416.

The previous prime is 34748645467. The next prime is 34748645483. The reversal of 34748645472 is 27454684743.

34748645472 is a `hidden beast` number, since 3 + 47 + 4 + 86 + 454 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×347486454722 (a number of 22 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 11 ways as a sum of consecutive naturals, for example, 532993 + ... + 594624.

It is an arithmetic number, because the mean of its divisors is an integer number (1385278713).

Almost surely, 234748645472 is an apocalyptic number.

34748645472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34748645472 is an abundant number, since it is smaller than the sum of its proper divisors (64991421864).

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

34748645472 is a wasteful number, since it uses less digits than its factorization.

34748645472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127740 (or 1127729 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 34748645472 in words is "thirty-four billion, seven hundred forty-eight million, six hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7704 10272 15408 30816 1127617 2255234 3382851 4510468 6765702 9020936 10148553 13531404 18041872 20297106 27062808 36083744 40594212 54125616 81188424 108251232 120655019 162376848 241310038 324753696 361965057 482620076 723930114 965240152 1085895171 1447860228 1930480304 2171790342 2895720456 3860960608 4343580684 5791440912 8687161368 11582881824 17374322736 34748645472