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131758257920 = 2851721128697
BaseRepresentation
bin111101010110101100…
…1110111011100000000
3110121002110102000001112
41322231121313130000
54124320103223140
6140310124422452
712343043466512
oct1725531673400
9417073360045
10131758257920
1150973113353
12216516a7a28
13c56a23b133
14653cbd7bb2
1536623c3c65
hex1ead677700

131758257920 has 144 divisors (see below), whose sum is σ = 335762467488. Its totient is φ = 49366302720.

The previous prime is 131758257893. The next prime is 131758257923. The reversal of 131758257920 is 29752857131.

It is a super-2 number, since 2×1317582579202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131758257923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4577012 + ... + 4605708.

It is an arithmetic number, because the mean of its divisors is an integer number (2331683802).

Almost surely, 2131758257920 is an apocalyptic number.

131758257920 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 131758257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167881233744).

131758257920 is an abundant number, since it is smaller than the sum of its proper divisors (204004209568).

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

131758257920 is a wasteful number, since it uses less digits than its factorization.

131758257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28946 (or 28932 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 50.

The spelling of 131758257920 in words is "one hundred thirty-one billion, seven hundred fifty-eight million, two hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 211 256 272 320 340 422 544 640 680 844 1055 1088 1280 1360 1688 2110 2176 2720 3376 3587 4220 4352 5440 6752 7174 8440 10880 13504 14348 16880 17935 21760 27008 28696 28697 33760 35870 54016 57392 57394 67520 71740 114784 114788 135040 143480 143485 229568 229576 270080 286960 286970 459136 459152 487849 573920 573940 918272 918304 975698 1147840 1147880 1836608 1951396 2295680 2295760 2439245 3673216 3902792 4591360 4591520 4878490 6055067 7346432 7805584 9183040 9756980 12110134 15611168 18366080 19513960 24220268 30275335 31222336 36732160 39027920 48440536 60550670 62444672 78055840 96881072 102936139 121101340 124889344 156111680 193762144 205872278 242202680 312223360 387524288 411744556 484405360 514680695 624446720 775048576 823489112 968810720 1029361390 1550097152 1646978224 1937621440 2058722780 3293956448 3875242880 4117445560 6587912896 7750485760 8234891120 13175825792 16469782240 26351651584 32939564480 65879128960 131758257920