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32152110015040 = 265177397997719
BaseRepresentation
bin1110100111101111111110…
…00110001010001001000000
311012211201012211100222210221
413103313333012022021000
513203240010130440130
6152214250405432424
76525625154604001
oct723677706121100
9135751184328727
1032152110015040
11a2766a6999574
12373336470b714
1314c2c14439282
147d22559231a8
153ab53bc2a87a
hex1d3dff18a240

32152110015040 has 112 divisors (see below), whose sum is σ = 81175578364800. Its totient is φ = 12087942930432.

The previous prime is 32152110015031. The next prime is 32152110015041. The reversal of 32152110015040 is 4051001125123.

It is a junction number, because it is equal to n+sod(n) for n = 32152110014996 and 32152110015014.

It is not an unprimeable number, because it can be changed into a prime (32152110015041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21301 + ... + 8019019.

Almost surely, 232152110015040 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 32152110015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40587789182400).

32152110015040 is an abundant number, since it is smaller than the sum of its proper divisors (49023468349760).

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

32152110015040 is a wasteful number, since it uses less digits than its factorization.

32152110015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998492 (or 7998482 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 32152110015040 in words is "thirty-two trillion, one hundred fifty-two billion, one hundred ten million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 739 1088 1360 1478 2720 2956 3695 5440 5912 7390 11824 12563 14780 23648 25126 29560 47296 50252 59120 62815 100504 118240 125630 201008 236480 251260 402016 502520 804032 1005040 2010080 4020160 7997719 15995438 31990876 39988595 63981752 79977190 127963504 135961223 159954380 255927008 271922446 319908760 511854016 543844892 639817520 679806115 1087689784 1279635040 1359612230 2175379568 2559270080 2719224460 4350759136 5438448920 5910314341 8701518272 10876897840 11820628682 21753795680 23641257364 29551571705 43507591360 47282514728 59103143410 94565029456 100475343797 118206286820 189130058912 200950687594 236412573640 378260117824 401901375188 472825147280 502376718985 803802750376 945650294560 1004753437970 1607605500752 1891300589120 2009506875940 3215211001504 4019013751880 6430422003008 8038027503760 16076055007520 32152110015040