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81007922232 = 23331731769593
BaseRepresentation
bin100101101110001110…
…0101100110000111000
321202002120200211101000
41023130130230300320
52311401012002412
6101114200525000
75565310656246
oct1133434546070
9252076624330
1081007922232
113139a950a66
1213849480760
13783cbb6bc3
143cc6989796
152191c174dc
hex12dc72cc38

81007922232 has 128 divisors (see below), whose sum is σ = 239013633600. Its totient is φ = 25333714944.

The previous prime is 81007922213. The next prime is 81007922251. The reversal of 81007922232 is 23222970018.

It is an interprime number because it is at equal distance from previous prime (81007922213) and next prime (81007922251).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1129228 + ... + 1198820.

Almost surely, 281007922232 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 81007922232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119506816800).

81007922232 is an abundant number, since it is smaller than the sum of its proper divisors (158005711368).

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

81007922232 is a wasteful number, since it uses less digits than its factorization.

81007922232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69942 (or 69932 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 81007922232 in words is "eighty-one billion, seven million, nine hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 317 408 459 612 634 918 951 1224 1268 1836 1902 2536 2853 3672 3804 5389 5706 7608 8559 10778 11412 16167 17118 21556 22824 32334 34236 43112 48501 64668 68472 69593 97002 129336 139186 145503 194004 208779 278372 291006 388008 417558 556744 582012 626337 835116 1164024 1183081 1252674 1670232 1879011 2366162 2505348 3549243 3758022 4732324 5010696 7098486 7516044 9464648 10647729 14196972 15032088 21295458 22060981 28393944 31943187 42590916 44121962 63886374 66182943 85181832 88243924 127772748 132365886 176487848 198548829 255545496 264731772 375036677 397097658 529463544 595646487 750073354 794195316 1125110031 1191292974 1500146708 1588390632 2250220062 2382585948 3000293416 3375330093 4500440124 4765171896 6750660186 9000880248 10125990279 13501320372 20251980558 27002640744 40503961116 81007922232