Search a number
-
+
64114604440016 = 241319231574492753
BaseRepresentation
bin11101001001111110110000…
…01110001111100111010000
322102000022000000112222112212
432210333120032033213100
531400423202214040031
6344205502003211252
716335061444546424
oct1644773016174720
9272008000488485
1064114604440016
111947993a818809
127235a0b376b28
1329a0c9aa87030
1411b9240590b84
15762b7bec412b
hex3a4fd838f9d0

64114604440016 has 160 divisors (see below), whose sum is σ = 147877021098240. Its totient is φ = 26644247764992.

The previous prime is 64114604439989. The next prime is 64114604440067. The reversal of 64114604440016 is 61004440641146.

It is a super-2 number, since 2×641146044400162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 12024296 + ... + 16517048.

It is an arithmetic number, because the mean of its divisors is an integer number (924231381864).

Almost surely, 264114604440016 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 64114604440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73938510549120).

64114604440016 is an abundant number, since it is smaller than the sum of its proper divisors (83762416658224).

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

64114604440016 is a wasteful number, since it uses less digits than its factorization.

64114604440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492973 (or 4492967 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 64114604440016 in words is "sixty-four trillion, one hundred fourteen billion, six hundred four million, four hundred forty thousand, sixteen".

Divisors: 1 2 4 8 13 16 19 23 26 38 46 52 76 92 104 152 157 184 208 247 299 304 314 368 437 494 598 628 874 988 1196 1256 1748 1976 2041 2392 2512 2983 3496 3611 3952 4082 4784 5681 5966 6992 7222 8164 11362 11932 14444 16328 22724 23864 28888 32656 38779 45448 46943 47728 57776 68609 77558 90896 93886 137218 155116 187772 274436 310232 375544 548872 620464 751088 891917 1097744 1783834 3567668 4492753 7135336 8985506 14270672 17971012 35942024 58405789 71884048 85362307 103333319 116811578 170724614 206666638 233623156 341449228 413333276 467246312 682898456 705362221 826666552 934492624 1109709991 1343333147 1365796912 1410724442 1653333104 1963333061 2219419982 2686666294 2821448884 3926666122 4438839964 5373332588 5642897768 7853332244 8877679928 9169708873 10746665176 11285795536 13401882199 15706664488 16223331083 17755359856 18339417746 21493330352 25523329793 26803764398 31413328976 32446662166 36678835492 51046659586 53607528796 64893324332 73357670984 102093319172 107215057592 129786648664 146715341968 174224468587 204186638344 210903304079 214430115184 259573297328 308243290577 348448937174 408373276688 421806608158 616486581154 696897874348 843613216316 1232973162308 1393795748696 1687226432632 2465946324616 2787591497392 3374452865264 4007162777501 4931892649232 8014325555002 16028651110004 32057302220008 64114604440016