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127775020640 = 2552383418331
BaseRepresentation
bin111011011111111111…
…1000001011001100000
3110012210212020120201212
41312333333001121200
54043140401130030
6134410554045252
712142245520031
oct1667777013140
9405725216655
10127775020640
114a209739213
122091b719828
13c083c384b7
146281ba8a88
1534cc860595
hex1dbffc1660

127775020640 has 96 divisors (see below), whose sum is σ = 318789063936. Its totient is φ = 48298708480.

The previous prime is 127775020613. The next prime is 127775020657. The reversal of 127775020640 is 46020577721.

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, 96275 + ... + 514605.

It is an arithmetic number, because the mean of its divisors is an integer number (3320719416).

Almost surely, 2127775020640 is an apocalyptic number.

127775020640 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 127775020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159394531968).

127775020640 is an abundant number, since it is smaller than the sum of its proper divisors (191014043296).

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

127775020640 is a wasteful number, since it uses less digits than its factorization.

127775020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418452 (or 418444 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The spelling of 127775020640 in words is "one hundred twenty-seven billion, seven hundred seventy-five million, twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 83 92 115 160 166 184 230 332 368 415 460 664 736 830 920 1328 1660 1840 1909 2656 3320 3680 3818 6640 7636 9545 13280 15272 19090 30544 38180 61088 76360 152720 305440 418331 836662 1673324 2091655 3346648 4183310 6693296 8366620 9621613 13386592 16733240 19243226 33466480 34721473 38486452 48108065 66932960 69442946 76972904 96216130 138885892 153945808 173607365 192432260 277771784 307891616 347214730 384864520 555543568 694429460 769729040 798593879 1111087136 1388858920 1539458080 1597187758 2777717840 3194375516 3992969395 5555435680 6388751032 7985938790 12777502064 15971877580 25555004128 31943755160 63887510320 127775020640