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40478152162672 = 247677399417757
BaseRepresentation
bin10010011010000100011011…
…11000010111110101110000
312022022200012000120121000201
421031002031320113311300
520301143223423201142
6222031223440324544
711345310226262350
oct1115021570276560
9168280160517021
1040478152162672
11119967626a5a64
124658b2b313754
1319780c526b933
149dd21dc4ab60
154a2de277bab7
hex24d08de17d70

40478152162672 has 160 divisors (see below), whose sum is σ = 91199612136960. Its totient is φ = 17045399669760.

The previous prime is 40478152162661. The next prime is 40478152162733. The reversal of 40478152162672 is 27626125187404.

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, 5218270218 + ... + 5218277974.

It is an arithmetic number, because the mean of its divisors is an integer number (569997575856).

Almost surely, 240478152162672 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 40478152162672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45599806068480).

40478152162672 is an abundant number, since it is smaller than the sum of its proper divisors (50721459974288).

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

40478152162672 is a wasteful number, since it uses less digits than its factorization.

40478152162672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9519 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 40478152162672 in words is "forty trillion, four hundred seventy-eight billion, one hundred fifty-two million, one hundred sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 739 938 941 1072 1478 1876 1882 2956 3752 3764 5173 5912 6587 7504 7528 7757 10346 11824 13174 15056 15514 20692 26348 31028 41384 49513 52696 54299 62056 63047 82768 99026 105392 108598 124112 126094 198052 217196 252188 346591 396104 434392 441329 504376 519719 693182 695399 792208 868784 882658 1008752 1039438 1386364 1390798 1765316 2078876 2772728 2781596 3530632 3638033 4157752 4867793 5545456 5563192 5732423 7061264 7276066 7299337 8315504 9735586 11126384 11464846 14552132 14598674 19471172 22929692 29104264 29197348 38942344 40126961 45859384 46591733 51095359 58208528 58394696 77884688 80253922 91718768 93183466 102190718 116789392 160507844 186366932 204381436 321015688 326142131 372733864 384072341 408762872 489055579 642031376 652284262 745467728 768144682 817525744 978111158 1304568524 1536289364 1956222316 2609137048 2688506387 3072578728 3423389053 3912444632 5218274096 5377012774 5394210043 6145157456 6846778106 7824889264 10754025548 10788420086 13693556212 21508051096 21576840172 27387112424 37759470301 43016102192 43153680344 54774224848 75518940602 86307360688 151037881204 302075762408 361412072881 604151524816 722824145762 1445648291524 2529884510167 2891296583048 5059769020334 5782593166096 10119538040668 20239076081336 40478152162672