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172804020948 = 223313831482889
BaseRepresentation
bin1010000011101111101…
…1000001101011010100
3121112001000020210202000
42200323323001223110
510312400312132243
6211215101515300
715325146641226
oct2407373015324
9545030223660
10172804020948
1167316401659
12295a7872b30
13133abb61590
148514226416
154765acb5d3
hex283bec1ad4

172804020948 has 96 divisors (see below), whose sum is σ = 488286019200. Its totient is φ = 52529824512.

The previous prime is 172804020943. The next prime is 172804020971. The reversal of 172804020948 is 849020408271.

172804020948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1728040209482 (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 (172804020943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624913 + ... + 857976.

It is an arithmetic number, because the mean of its divisors is an integer number (5086312700).

Almost surely, 2172804020948 is an apocalyptic number.

172804020948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

172804020948 is an abundant number, since it is smaller than the sum of its proper divisors (315481998252).

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

172804020948 is a wasteful number, since it uses less digits than its factorization.

172804020948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482998 (or 1482990 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 172804020948 in words is "one hundred seventy-two billion, eight hundred four million, twenty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 468 498 702 747 996 1079 1404 1494 2158 2241 2988 3237 4316 4482 6474 8964 9711 12948 19422 29133 38844 58266 116532 1482889 2965778 4448667 5931556 8897334 13346001 17794668 19277557 26692002 38555114 40038003 53384004 57832671 77110228 80076006 115665342 123079787 160152012 173498013 231330684 246159574 346996026 369239361 492319148 520494039 693992052 738478722 1040988078 1107718083 1476957444 1600037231 2081976156 2215436166 3200074462 3323154249 4430872332 4800111693 6400148924 6646308498 9600223386 13292616996 14400335079 19200446772 28800670158 43201005237 57601340316 86402010474 172804020948