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46444061136 = 24311210973363
BaseRepresentation
bin101011010000010010…
…000010000111010000
311102212202200202112110
4223100102002013100
51230104134424021
633200333225320
73232633002024
oct532022020720
9142782622473
1046444061136
1118773509600
129002032240
1344c2148aa5
142368370384
15131c5d8476
hexad04821d0

46444061136 has 120 divisors (see below), whose sum is σ = 133091099680. Its totient is φ = 13944648960.

The previous prime is 46444061129. The next prime is 46444061141. The reversal of 46444061136 is 63116044464.

It is a super-2 number, since 2×464440611362 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46444061094 and 46444061103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596391 + ... + 669753.

Almost surely, 246444061136 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 46444061136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66545549840).

46444061136 is an abundant number, since it is smaller than the sum of its proper divisors (86647038544).

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

46444061136 is a wasteful number, since it uses less digits than its factorization.

46444061136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73505 (or 73488 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 46444061136 in words is "forty-six billion, four hundred forty-four million, sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 121 132 176 218 242 264 327 363 436 484 528 654 726 872 968 1199 1308 1452 1744 1936 2398 2616 2904 3597 4796 5232 5808 7194 9592 13189 14388 19184 26378 28776 39567 52756 57552 73363 79134 105512 146726 158268 211024 220089 293452 316536 440178 586904 633072 806993 880356 1173808 1613986 1760712 2420979 3227972 3521424 4841958 6455944 7996567 8876923 9683916 12911888 15993134 17753846 19367832 23989701 26630769 31986268 35507692 38735664 47979402 53261538 63972536 71015384 87962237 95958804 106523076 127945072 142030768 175924474 191917608 213046152 263886711 351848948 383835216 426092304 527773422 703697896 967584607 1055546844 1407395792 1935169214 2111093688 2902753821 3870338428 4222187376 5805507642 7740676856 11611015284 15481353712 23222030568 46444061136