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73400734007316 = 223253169922642723
BaseRepresentation
bin10000101100000111110000…
…101011010100000000010100
3100121220001010100121211222200
4100230013300223110000110
534110044200401213231
6420035455351324500
721314012420531142
oct2054076053240024
9317801110554880
1073400734007316
112142a092880811
128295679380730
1331c5875c602a1
14141a8861cc592
158744c52c1be6
hex42c1f0ad4014

73400734007316 has 72 divisors (see below), whose sum is σ = 189152787751200. Its totient is φ = 23991141380544.

The previous prime is 73400734007311. The next prime is 73400734007317. The reversal of 73400734007316 is 61370043700437.

73400734007316 is a `hidden beast` number, since 73 + 40 + 0 + 73 + 400 + 73 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73400734007311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8079670 + ... + 14563053.

It is an arithmetic number, because the mean of its divisors is an integer number (2627122052100).

Almost surely, 273400734007316 is an apocalyptic number.

It is an amenable number.

73400734007316 is an abundant number, since it is smaller than the sum of its proper divisors (115752053743884).

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

73400734007316 is a wasteful number, since it uses less digits than its factorization.

73400734007316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22644485 (or 22644480 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 73400734007316 in words is "seventy-three trillion, four hundred billion, seven hundred thirty-four million, seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1699 1908 3398 5097 6796 10194 15291 20388 30582 61164 90047 180094 270141 360188 540282 810423 1080564 1620846 3241692 22642723 45285446 67928169 90570892 135856338 203784507 271712676 407569014 815138028 1200064319 2400128638 3600192957 4800257276 7200385914 10800578871 14400771828 21601157742 38469986377 43202315484 76939972754 115409959131 153879945508 230819918262 346229877393 461639836524 692459754786 1384919509572 2038909277981 4077818555962 6116727833943 8155637111924 12233455667886 18350183501829 24466911335772 36700367003658 73400734007316