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83744107376406 = 231714092281255457
BaseRepresentation
bin10011000010101000110001…
…110001011010111100010110
3101222111212011211102120111120
4103002220301301122330112
541434030412442021111
6454035302315344410
723432212022532201
oct2302506161327426
9358455154376446
1083744107376406
1124757749456204
129486204152106
13379605cb2a139
141697344a64938
159a359a602406
hex4c2a31c5af16

83744107376406 has 64 divisors (see below), whose sum is σ = 177544822311360. Its totient is φ = 26242402222080.

The previous prime is 83744107376401. The next prime is 83744107376411. The reversal of 83744107376406 is 60467370144738.

It is an interprime number because it is at equal distance from previous prime (83744107376401) and next prime (83744107376411).

It is a self number, because there is not a number n which added to its sum of digits gives 83744107376406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83744107376401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327693030 + ... + 327948486.

It is an arithmetic number, because the mean of its divisors is an integer number (2774137848615).

Almost surely, 283744107376406 is an apocalyptic number.

83744107376406 is an abundant number, since it is smaller than the sum of its proper divisors (93800714934954).

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

83744107376406 is a wasteful number, since it uses less digits than its factorization.

83744107376406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259169.

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 83744107376406 in words is "eighty-three trillion, seven hundred forty-four billion, one hundred seven million, three hundred seventy-six thousand, four hundred six".

Divisors: 1 2 3 6 17 34 51 102 1409 2281 2818 4227 4562 6843 8454 13686 23953 38777 47906 71859 77554 116331 143718 232662 255457 510914 766371 1532742 3213929 4342769 6427858 8685538 9641787 13028307 19283574 26056614 54636793 109273586 163910379 327820758 359938913 582697417 719877826 1079816739 1165394834 1748092251 2159633478 3496184502 6118961521 9905856089 12237923042 18356884563 19811712178 29717568267 36713769126 59435136534 821020660553 1642041321106 2463061981659 4926123963318 13957351229401 27914702458802 41872053688203 83744107376406