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74122172736 = 2631733436793
BaseRepresentation
bin100010100001000000…
…1101001100101000000
321002022200221111210220
41011002001221211000
52203300234011421
654015023223040
75232550033653
oct1050201514500
9232280844726
1074122172736
11294870414a7
1212447447a80
136cb3473c11
14383228d89a
151ddc46a3c6
hex1142069940

74122172736 has 112 divisors (see below), whose sum is σ = 207743779584. Its totient is φ = 23243636736.

The previous prime is 74122172731. The next prime is 74122172771. The reversal of 74122172736 is 63727122147.

It is a super-2 number, since 2×741221727362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74122172731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10908156 + ... + 10914948.

Almost surely, 274122172736 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 74122172736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103871889792).

74122172736 is an abundant number, since it is smaller than the sum of its proper divisors (133621606848).

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

74122172736 is a wasteful number, since it uses less digits than its factorization.

74122172736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10158 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The spelling of 74122172736 in words is "seventy-four billion, one hundred twenty-two million, one hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 3343 6686 6793 10029 13372 13586 20058 20379 26744 27172 40116 40758 53488 54344 56831 80232 81516 106976 108688 113662 115481 160464 163032 170493 213952 217376 227324 230962 320928 326064 340986 346443 434752 454648 461924 641856 652128 681972 692886 909296 923848 1304256 1363944 1385772 1818592 1847696 2727888 2771544 3637184 3695392 5455776 5543088 7390784 10911552 11086176 22172352 22708999 45417998 68126997 90835996 136253994 181671992 272507988 363343984 386052983 545015976 726687968 772105966 1090031952 1158158949 1453375936 1544211932 2180063904 2316317898 3088423864 4360127808 4632635796 6176847728 9265271592 12353695456 18530543184 24707390912 37061086368 74122172736