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86324815438436 = 221723153181125097
BaseRepresentation
bin10011101000001100001111…
…111101011010001001100100
3102022122120102210221111012202
4103220030033331122021210
542303321210223012221
6503333023413434032
724116522254241201
oct2350141775321144
9368576383844182
1086324815438436
112556216a916aa3
1298223b203b918
13392251a246ba3
141746201548ca8
159ea78e947d0b
hex4e830ff5a264

86324815438436 has 144 divisors (see below), whose sum is σ = 168879705103872. Its totient is φ = 38548419686400.

The previous prime is 86324815438429. The next prime is 86324815438439. The reversal of 86324815438436 is 63483451842368.

It is a super-2 number, since 2×863248154384362 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86324815438439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3439634240 + ... + 3439659336.

It is an arithmetic number, because the mean of its divisors is an integer number (1172775729888).

Almost surely, 286324815438436 is an apocalyptic number.

It is an amenable number.

86324815438436 is a deficient number, since it is larger than the sum of its proper divisors (82554889665436).

86324815438436 is a wasteful number, since it uses less digits than its factorization.

86324815438436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27030 (or 27011 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 65.

The spelling of 86324815438436 in words is "eighty-six trillion, three hundred twenty-four billion, eight hundred fifteen million, four hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 17 31 34 53 62 68 106 124 212 289 527 578 901 1054 1156 1643 1802 1811 2108 3286 3604 3622 6572 7244 8959 15317 17918 25097 27931 30634 30787 35836 50194 55862 56141 61268 61574 95983 100388 111724 112282 123148 191966 224564 383932 426649 474827 523379 778007 853298 949654 954397 1046758 1330141 1556014 1631711 1706596 1899308 1908794 2093516 2660282 2975473 3112028 3263422 3817588 5320564 5950946 6526844 7253033 11901892 13226119 14506066 16224749 22612397 26452238 27739087 29012132 32449498 41234371 45224794 45450667 50583041 52904476 55478174 64898996 82468742 90449588 90901334 101166082 110956348 164937484 181802668 202332164 224844023 384410749 449688046 700984307 768821498 772661339 859911697 899376092 1401968614 1408970677 1537642996 1545322678 1719823394 2408885351 2803937228 2817941354 3090645356 3439646788 4817770702 5635882708 9635541404 11916733219 13135242763 23833466438 23952501509 26270485526 40951050967 47666932876 47905003018 52540971052 74675445881 81902101934 95810006036 149350891762 163804203868 298701783524 407192525653 696167866439 814385051306 1269482579977 1392335732878 1628770102612 2538965159954 2784671465756 5077930319908 21581203859609 43162407719218 86324815438436