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37389924972 = 2235193165309
BaseRepresentation
bin100010110100100111…
…001111101001101100
310120111202201222200000
4202310213033221230
51103033310044342
625102055504300
72462362055421
oct426447175154
9116452658600
1037389924972
1114947702044
1272b5988090
1336ab3c287a
141b49aa5d48
15e8c7b644c
hex8b49cfa6c

37389924972 has 144 divisors (see below), whose sum is σ = 106502323200. Its totient is φ = 11426287680.

The previous prime is 37389924937. The next prime is 37389924983. The reversal of 37389924972 is 27942998373.

37389924972 is a `hidden beast` number, since 3 + 7 + 389 + 9 + 249 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539854 + ... + 605162.

Almost surely, 237389924972 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 37389924972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53251161600).

37389924972 is an abundant number, since it is smaller than the sum of its proper divisors (69112398228).

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

37389924972 is a wasteful number, since it uses less digits than its factorization.

37389924972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65378 (or 65364 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

It can be divided in two parts, 37389 and 924972, that added together give a square (962361 = 9812).

The spelling of 37389924972 in words is "thirty-seven billion, three hundred eighty-nine million, nine hundred twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 81 93 108 114 124 162 171 186 228 243 279 324 342 372 486 513 558 589 684 837 972 1026 1116 1178 1539 1674 1767 2052 2356 2511 3078 3348 3534 4617 5022 5301 6156 7068 7533 9234 10044 10602 15066 15903 18468 21204 30132 31806 47709 63612 65309 95418 130618 143127 190836 195927 261236 286254 391854 572508 587781 783708 1175562 1240871 1763343 2024579 2351124 2481742 3526686 3722613 4049158 4963484 5290029 6073737 7053372 7445226 8098316 10580058 11167839 12147474 14890452 15870087 18221211 21160116 22335678 24294948 31740174 33503517 36442422 38467001 44671356 54663633 63480348 67007034 72884844 76934002 100510551 109327266 115401003 134014068 153868004 163990899 201021102 218654532 230802006 301531653 327981798 346203009 402042204 461604012 491972697 603063306 655963596 692406018 983945394 1038609027 1206126612 1384812036 1967890788 2077218054 3115827081 4154436108 6231654162 9347481243 12463308324 18694962486 37389924972