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94328500141536 = 25325116092432999
BaseRepresentation
bin10101011100101010010000…
…101111100011110111100000
3110100222201100100202012111020
4111130222100233203313200
544330434232014012121
6532341525325445440
725604003111564163
oct2534522057436740
9410881310665436
1094328500141536
1128068546211201
12a6b55b3a10880
1340831a733712b
141941749305ada
15ad8a7a1021c6
hex55ca90be3de0

94328500141536 has 96 divisors (see below), whose sum is σ = 248753423520000. Its totient is φ = 31298086272000.

The previous prime is 94328500141483. The next prime is 94328500141573. The reversal of 94328500141536 is 63514100582349.

94328500141536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37553965 + ... + 39986963.

It is an arithmetic number, because the mean of its divisors is an integer number (2591181495000).

Almost surely, 294328500141536 is an apocalyptic number.

94328500141536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94328500141536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124376711760000).

94328500141536 is an abundant number, since it is smaller than the sum of its proper divisors (154424923378464).

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

94328500141536 is a wasteful number, since it uses less digits than its factorization.

94328500141536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434872 (or 2434864 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 94328500141536 in words is "ninety-four trillion, three hundred twenty-eight billion, five hundred million, one hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 502 753 1004 1506 1609 2008 3012 3218 4016 4827 6024 6436 8032 9654 12048 12872 19308 24096 25744 38616 51488 77232 154464 403859 807718 1211577 1615436 2423154 2432999 3230872 4846308 4865998 6461744 7298997 9692616 9731996 12923488 14597994 19385232 19463992 29195988 38770464 38927984 58391976 77855968 116783952 233567904 610682749 1221365498 1832048247 2442730996 3664096494 3914695391 4885461992 7328192988 7829390782 9770923984 11744086173 14656385976 15658781564 19541847968 23488172346 29312771952 31317563128 46976344692 58625543904 62635126256 93952689384 125270252512 187905378768 375810757536 982588543141 1965177086282 2947765629423 3930354172564 5895531258846 7860708345128 11791062517692 15721416690256 23582125035384 31442833380512 47164250070768 94328500141536