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116721507136 = 26131737223037
BaseRepresentation
bin110110010110100100…
…1001101101101000000
3102011021112002220202211
41230231021031231000
53403021201212021
6125342054551504
711301316304113
oct1545511155500
9364245086684
10116721507136
114555727a993
121a755968594
13b011bc5470
145913b6857a
1530822503e1
hex1b2d24db40

116721507136 has 112 divisors (see below), whose sum is σ = 271248109776. Its totient is φ = 49331994624.

The previous prime is 116721507061. The next prime is 116721507169. The reversal of 116721507136 is 631705127611.

It can be written as a sum of positive squares in 8 ways, for example, as 1219406400 + 115502100736 = 34920^2 + 339856^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411810 + ... + 634846.

It is an arithmetic number, because the mean of its divisors is an integer number (2421858123).

Almost surely, 2116721507136 is an apocalyptic number.

116721507136 is a gapful number since it is divisible by the number (16) 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 116721507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135624054888).

116721507136 is an abundant number, since it is smaller than the sum of its proper divisors (154526602640).

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

116721507136 is a wasteful number, since it uses less digits than its factorization.

116721507136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223116 (or 223106 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 116721507136 in words is "one hundred sixteen billion, seven hundred twenty-one million, five hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 37 52 64 68 74 104 136 148 208 221 272 296 416 442 481 544 592 629 832 884 962 1088 1184 1258 1768 1924 2368 2516 3536 3848 5032 7072 7696 8177 10064 14144 15392 16354 20128 30784 32708 40256 65416 130832 223037 261664 446074 523328 892148 1784296 2899481 3568592 3791629 5798962 7137184 7583258 8252369 11597924 14274368 15166516 16504738 23195848 30333032 33009476 46391696 49291177 60666064 66018952 92783392 98582354 107280797 121332128 132037904 140290273 185566784 197164708 214561594 242664256 264075808 280580546 394329416 429123188 528151616 561161092 788658832 858246376 1122322184 1577317664 1716492752 1823773549 2244644368 3154635328 3432985504 3647547098 4489288736 6865971008 7295094196 8978577472 14590188392 29180376784 58360753568 116721507136