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630847742100 = 2235223479190871
BaseRepresentation
bin10010010111000010111…
…01001010000010010100
32020022022212022201101220
421023201131022002110
540313434010221400
61201450224250340
763401665222122
oct11134135120224
92208285281356
10630847742100
112235a5116834
12a23197709b0
134764784cc44
1422767124912
15116230ee7a0
hex92e174a094

630847742100 has 144 divisors (see below), whose sum is σ = 1908597841920. Its totient is φ = 160575113600.

The previous prime is 630847742069. The next prime is 630847742171. The reversal of 630847742100 is 1247748036.

It is a super-2 number, since 2×6308477421002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3209665 + ... + 3400535.

It is an arithmetic number, because the mean of its divisors is an integer number (13254151680).

Almost surely, 2630847742100 is an apocalyptic number.

630847742100 is a gapful number since it is divisible by the number (60) 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 630847742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954298920960).

630847742100 is an abundant number, since it is smaller than the sum of its proper divisors (1277750099820).

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

630847742100 is a wasteful number, since it uses less digits than its factorization.

630847742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191390 (or 191383 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 630847742100 in words is "six hundred thirty billion, eight hundred forty-seven million, seven hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 479 575 690 958 1150 1380 1437 1725 1916 2300 2395 2874 3450 4790 5748 6900 7185 9580 11017 11975 14370 22034 23950 28740 33051 35925 44068 47900 55085 66102 71850 110170 132204 143700 165255 190871 220340 275425 330510 381742 550850 572613 661020 763484 826275 954355 1101700 1145226 1652550 1908710 2290452 2863065 3305100 3817420 4390033 4771775 5726130 8780066 9543550 11452260 13170099 14315325 17560132 19087100 21950165 26340198 28630650 43900330 52680396 57261300 65850495 87800660 91427209 109750825 131700990 182854418 219501650 263401980 274281627 329252475 365708836 439003300 457136045 548563254 658504950 914272090 1097126508 1317009900 1371408135 1828544180 2102825807 2285680225 2742816270 4205651614 4571360450 5485632540 6308477421 6857040675 8411303228 9142720900 10514129035 12616954842 13714081350 21028258070 25233909684 27428162700 31542387105 42056516140 52570645175 63084774210 105141290350 126169548420 157711935525 210282580700 315423871050 630847742100