Search a number
-
+
152919396624 = 243191972513391
BaseRepresentation
bin1000111001101010110…
…1001101000100010000
3112121201012211020011110
42032122231031010100
510001134331142444
6154130013213320
714022325265451
oct2163255150420
9477635736143
10152919396624
1159942016035
1225778491240
1311560351a97
1475893b5128
153ea0050cb9
hex239ab4d110

152919396624 has 160 divisors (see below), whose sum is σ = 419733135360. Its totient is φ = 47839680000.

The previous prime is 152919396587. The next prime is 152919396667. The reversal of 152919396624 is 426693919251.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 45093969 + ... + 45097359.

It is an arithmetic number, because the mean of its divisors is an integer number (2623332096).

Almost surely, 2152919396624 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 152919396624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209866567680).

152919396624 is an abundant number, since it is smaller than the sum of its proper divisors (266813738736).

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

152919396624 is a wasteful number, since it uses less digits than its factorization.

152919396624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3863 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 57.

The spelling of 152919396624 in words is "one hundred fifty-two billion, nine hundred nineteen million, three hundred ninety-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 197 228 251 304 394 456 502 591 753 788 912 1004 1182 1506 1576 2008 2364 3012 3152 3391 3743 4016 4728 4769 6024 6782 7486 9456 9538 10173 11229 12048 13564 14307 14972 19076 20346 22458 27128 28614 29944 38152 40692 44916 49447 54256 57228 59888 64429 76304 81384 89832 98894 114456 128858 148341 162768 179664 193287 197788 228912 257716 296682 386574 395576 515432 593364 668027 773148 791152 851141 939493 1030864 1186728 1336054 1546296 1702282 1878986 2004081 2373456 2553423 2672108 2818479 3092592 3404564 3757972 4008162 5106846 5344216 5636958 6809128 7515944 8016324 10213692 10688432 11273916 12692513 13618256 15031888 16032648 16171679 20427384 22547832 25385026 32065296 32343358 38077539 40854768 45095664 48515037 50770052 64686716 76155078 97030074 101540104 129373432 152310156 167674777 194060148 203080208 258746864 304620312 335349554 388120296 503024331 609240624 670699108 776240592 1006048662 1341398216 2012097324 2682796432 3185820763 4024194648 6371641526 8048389296 9557462289 12743283052 19114924578 25486566104 38229849156 50973132208 76459698312 152919396624