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38127365120 = 210513572827
BaseRepresentation
bin100011100000100100…
…010110110000000000
310122102011100211101002
4203200210112300000
51111041101140440
625303201431132
72516555153615
oct434044266000
9118364324332
1038127365120
11151959a3809
12748093b4a8
1337981105a0
141bb99c850c
15ed23d2115
hex8e0916c00

38127365120 has 88 divisors (see below), whose sum is σ = 98496628944. Its totient is φ = 14077771776.

The previous prime is 38127365047. The next prime is 38127365137. The reversal of 38127365120 is 2156372183.

It is a super-2 number, since 2×381273651202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219854 + ... + 352973.

Almost surely, 238127365120 is an apocalyptic number.

It is an amenable number.

38127365120 is an abundant number, since it is smaller than the sum of its proper divisors (60369263824).

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

38127365120 is a wasteful number, since it uses less digits than its factorization.

38127365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572865 (or 572847 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 38127365120 in words is "thirty-eight billion, one hundred twenty-seven million, three hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2080 2560 3328 4160 5120 6656 8320 13312 16640 33280 66560 572827 1145654 2291308 2864135 4582616 5728270 7446751 9165232 11456540 14893502 18330464 22913080 29787004 36660928 37233755 45826160 59574008 73321856 74467510 91652320 119148016 146643712 148935020 183304640 238296032 293287424 297870040 366609280 476592064 586574848 595740080 733218560 953184128 1191480160 1466437120 1906368256 2382960320 2932874240 3812736512 4765920640 7625473024 9531841280 19063682560 38127365120