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74630034432 = 2103210180177
BaseRepresentation
bin100010110000001001…
…0111111010000000000
321010122002120120002100
41011200102333100000
52210320242100212
654141244350400
75251254553212
oct1054022772000
9233562516070
1074630034432
1129717788508
1212569545400
13706474c4b5
14387d8d05b2
151e1bd37bdc
hex11604bf400

74630034432 has 132 divisors (see below), whose sum is σ = 217628909316. Its totient is φ = 24630067200.

The previous prime is 74630034379. The next prime is 74630034467. The reversal of 74630034432 is 23443003647.

74630034432 is a `hidden beast` number, since 7 + 4 + 6 + 300 + 344 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54823412736 + 19806621696 = 234144^2 + 140736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 890728 + ... + 970904.

Almost surely, 274630034432 is an apocalyptic number.

74630034432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74630034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108814454658).

74630034432 is an abundant number, since it is smaller than the sum of its proper divisors (142998874884).

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

74630034432 is a wasteful number, since it uses less digits than its factorization.

74630034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80304 (or 80283 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 74630034432 in words is "seventy-four billion, six hundred thirty million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1024 1152 1212 1536 1616 1818 2304 2424 3072 3232 3636 4608 4848 6464 7272 9216 9696 12928 14544 19392 25856 29088 38784 51712 58176 77568 80177 103424 116352 155136 160354 232704 240531 310272 320708 465408 481062 641416 721593 930816 962124 1282832 1443186 1924248 2565664 2886372 3848496 5131328 5772744 7696992 8097877 10262656 11545488 15393984 16195754 20525312 23090976 24293631 30787968 32391508 41050624 46181952 48587262 61575936 64783016 72880893 82101248 92363904 97174524 123151872 129566032 145761786 184727808 194349048 246303744 259132064 291523572 369455616 388698096 518264128 583047144 738911232 777396192 1036528256 1166094288 1554792384 2073056512 2332188576 3109584768 4146113024 4664377152 6219169536 8292226048 9328754304 12438339072 18657508608 24876678144 37315017216 74630034432