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100774854240 = 25351039202067
BaseRepresentation
bin101110111011010100…
…1100011111001100000
3100122010011200000102220
41131312221203321200
53122341330313430
6114143442511040
710165203061524
oct1356651437140
9318104600386
10100774854240
1139813861605
1217645365480
1396701c9c88
144c3dd21d84
15294c296110
hex1776a63e60

100774854240 has 96 divisors (see below), whose sum is σ = 317747888640. Its totient is φ = 26847297024.

The previous prime is 100774854221. The next prime is 100774854253. The reversal of 100774854240 is 42458477001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100774854192 and 100774854201.

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, 397687 + ... + 599753.

It is an arithmetic number, because the mean of its divisors is an integer number (3309873840).

Almost surely, 2100774854240 is an apocalyptic number.

100774854240 is a gapful number since it is divisible by the number (10) 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 100774854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158873944320).

100774854240 is an abundant number, since it is smaller than the sum of its proper divisors (216973034400).

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

100774854240 is a wasteful number, since it uses less digits than its factorization.

100774854240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203124 (or 203116 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 100774854240 in words is "one hundred billion, seven hundred seventy-four million, eight hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1039 2078 3117 4156 5195 6234 8312 10390 12468 15585 16624 20780 24936 31170 33248 41560 49872 62340 83120 99744 124680 166240 202067 249360 404134 498720 606201 808268 1010335 1212402 1616536 2020670 2424804 3031005 3233072 4041340 4849608 6062010 6466144 8082680 9699216 12124020 16165360 19398432 24248040 32330720 48496080 96992160 209947613 419895226 629842839 839790452 1049738065 1259685678 1679580904 2099476130 2519371356 3149214195 3359161808 4198952260 5038742712 6298428390 6718323616 8397904520 10077485424 12596856780 16795809040 20154970848 25193713560 33591618080 50387427120 100774854240