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4016982272394 = 23713241234713007
BaseRepresentation
bin111010011101000110110…
…011010010100110001010
3112020000112101211112010210
4322131012303102212022
51011303234430204034
612313213131021550
7563134364641260
oct72350663224612
915200471745123
104016982272394
111309657852233
1254a62729a8b6
13231a52222b20
14dc5cc926430
156e756d2e8e9
hex3a746cd298a

4016982272394 has 128 divisors (see below), whose sum is σ = 9933979410432. Its totient is φ = 1054497346560.

The previous prime is 4016982272389. The next prime is 4016982272411. The reversal of 4016982272394 is 4932722896104.

It is a happy number.

4016982272394 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40169822723942 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308825839 + ... + 308838845.

It is an arithmetic number, because the mean of its divisors is an integer number (77609214144).

Almost surely, 24016982272394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016982272394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966989705216).

4016982272394 is an abundant number, since it is smaller than the sum of its proper divisors (5916997138038).

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

4016982272394 is a wasteful number, since it uses less digits than its factorization.

4016982272394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15620.

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 4016982272394 in words is "four trillion, sixteen billion, nine hundred eighty-two million, two hundred seventy-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 241 273 482 546 723 1446 1687 2347 3133 3374 4694 5061 6266 7041 9399 10122 13007 14082 16429 18798 21931 26014 30511 32858 39021 43862 49287 61022 65793 78042 91049 91533 98574 131586 169091 182098 183066 213577 273147 338182 427154 507273 546294 565627 640731 1014546 1131254 1183637 1281462 1696881 2367274 3134687 3393762 3550911 3959389 6269374 7101822 7353151 7918778 9404061 11878167 14706302 18808122 21942809 22059453 23756334 30527429 40750931 43885618 44118906 51472057 61054858 65828427 81501862 91582287 102944114 122252793 131656854 154416171 183164574 213692003 244505586 285256517 308832342 396856577 427384006 570513034 641076009 793713154 855769551 1190569731 1282152018 1711539102 2381139462 2777996039 5555992078 7357110389 8333988117 14714220778 16667976234 22071331167 44142662334 51499772723 95642435057 102999545446 154499318169 191284870114 286927305171 308998636338 573854610342 669497045399 1338994090798 2008491136197 4016982272394