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73021971636 = 22332361947491
BaseRepresentation
bin100010000000001110…
…0101101110010110100
320222111000201111122000
41010000130231302310
52144022111043021
653313522135300
75163360342405
oct1040034556264
9228430644560
1073021971636
1128a71aaa099
121219aab1530
136b69552853
14376a0db9ac
151d75a94b26
hex110072dcb4

73021971636 has 96 divisors (see below), whose sum is σ = 197870668800. Its totient is φ = 23244265440.

The previous prime is 73021971629. The next prime is 73021971677. The reversal of 73021971636 is 63617912037.

73021971636 is a `hidden beast` number, since 7 + 3 + 0 + 2 + 1 + 9 + 7 + 1 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73021971591 and 73021971600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513851 + ... + 1561341.

It is an arithmetic number, because the mean of its divisors is an integer number (2061152800).

Almost surely, 273021971636 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 73021971636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98935334400).

73021971636 is an abundant number, since it is smaller than the sum of its proper divisors (124848697164).

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

73021971636 is a wasteful number, since it uses less digits than its factorization.

73021971636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48146 (or 48138 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 73021971636 in words is "seventy-three billion, twenty-one million, nine hundred seventy-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 619 621 828 1238 1242 1857 2476 2484 3714 5571 7428 11142 14237 16713 22284 28474 33426 42711 47491 56948 66852 85422 94982 128133 142473 170844 189964 256266 284946 384399 427419 512532 569892 768798 854838 1092293 1282257 1537596 1709676 2184586 2564514 3276879 4369172 5129028 6553758 9830637 13107516 19661274 29396929 29491911 39322548 58793858 58983822 88190787 117587716 117967644 176381574 264572361 352763148 529144722 676129367 793717083 1058289444 1352258734 1587434166 2028388101 2704517468 3174868332 4056776202 6085164303 8113552404 12170328606 18255492909 24340657212 36510985818 73021971636