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4120626006 = 23476171839
BaseRepresentation
bin1111010110011011…
…1100001101010110
3101122011200111020000
43311212330031112
531414340013011
61520515152130
7204053512620
oct36546741526
911564614200
104120626006
111824a93342
1296bba5646
13508907553
142b1393c10
15191b51356
hexf59bc356

4120626006 has 160 divisors (see below), whose sum is σ = 10889303040. Its totient is φ = 1140350400.

The previous prime is 4120625983. The next prime is 4120626023. The reversal of 4120626006 is 6006260214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4910935 + ... + 4911773.

It is an arithmetic number, because the mean of its divisors is an integer number (68058144).

Almost surely, 24120626006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120626006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444651520).

4120626006 is an abundant number, since it is smaller than the sum of its proper divisors (6768677034).

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

4120626006 is a wasteful number, since it uses less digits than its factorization.

4120626006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4120626006 is about 64192.1023646990. The cubic root of 4120626006 is about 1603.2001065048.

The spelling of 4120626006 in words is "four billion, one hundred twenty million, six hundred twenty-six thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 71 81 122 126 142 162 183 189 213 366 378 426 427 497 549 567 639 839 854 994 1098 1134 1278 1281 1491 1647 1678 1917 2517 2562 2982 3294 3834 3843 4331 4473 4941 5034 5751 5873 7551 7686 8662 8946 9882 11502 11529 11746 12993 13419 15102 17619 22653 23058 25986 26838 30317 34587 35238 38979 40257 45306 51179 52857 59569 60634 67959 69174 77958 80514 90951 102358 105714 116937 119138 135918 153537 158571 178707 181902 233874 272853 307074 317142 350811 357414 358253 416983 460611 475713 536121 545706 701622 716506 818559 833966 921222 951426 1072242 1074759 1250949 1381833 1608363 1637118 2149518 2455677 2501898 2763666 3216726 3224277 3633709 3752847 4145499 4825089 4911354 6448554 7267418 7505694 8290998 9650178 9672831 10901127 11258541 19345662 21802254 22517082 25435963 29018493 32703381 33775623 50871926 58036986 65406762 67551246 76307889 98110143 152615778 196220286 228923667 294330429 457847334 588660858 686771001 1373542002 2060313003 4120626006