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10039380072012 = 22363923877609
BaseRepresentation
bin1001001000010111100110…
…1011101101011001001100
31022112202101122210012000000
42102011321223231121030
52303441122244301022
633204005540404300
72054215124420004
oct222057153553114
938482348705000
1010039380072012
11322074a362a85
1211618480a6690
1357a92b955795
14269ca1247004
151262322c26ac
hex92179aed64c

10039380072012 has 84 divisors (see below), whose sum is σ = 26348067287640. Its totient is φ = 3345603175872.

The previous prime is 10039380071911. The next prime is 10039380072019. The reversal of 10039380072012 is 21027008393001.

10039380072012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10039380072019) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11000664 + ... + 11878272.

It is an arithmetic number, because the mean of its divisors is an integer number (313667467710).

Almost surely, 210039380072012 is an apocalyptic number.

10039380072012 is a gapful number since it is divisible by the number (12) 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 10039380072012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13174033643820).

10039380072012 is an abundant number, since it is smaller than the sum of its proper divisors (16308687215628).

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

10039380072012 is an equidigital number, since it uses as much as digits as its factorization.

10039380072012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881554 (or 881537 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10039380072012 in words is "ten trillion, thirty-nine billion, three hundred eighty million, seventy-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3923 7846 11769 15692 23538 35307 47076 70614 105921 141228 211842 317763 423684 635526 877609 953289 1271052 1755218 1906578 2632827 2859867 3510436 3813156 5265654 5719734 7898481 10531308 11439468 15796962 23695443 31593924 47390886 71086329 94781772 142172658 213258987 284345316 426517974 639776961 853035948 1279553922 2559107844 3442860107 6885720214 10328580321 13771440428 20657160642 30985740963 41314321284 61971481926 92957222889 123942963852 185914445778 278871668667 371828891556 557743337334 836615006001 1115486674668 1673230012002 2509845018003 3346460024004 5019690036006 10039380072012