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147499011136 = 266127872
BaseRepresentation
bin1000100101011110100…
…0000100110001000000
3112002201110102010010101
42021113220010301000
54404034221324021
6151432103412144
713441106623351
oct2112750046100
9462643363111
10147499011136
115761038a204
1224705154054
1310ba8394ba9
1471d3563d28
153c8425aa91
hex2257a04c40

147499011136 has 63 divisors (see below), whose sum is σ = 297948849237. Its totient is φ = 72448323840.

The previous prime is 147499011103. The next prime is 147499011221. The reversal of 147499011136 is 631110994741.

The square root of 147499011136 is 384056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4796393536 + 142702617600 = 69256^2 + 377760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 187418935 + ... + 187419721.

Almost surely, 2147499011136 is an apocalyptic number.

147499011136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147499011136 is the 384056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147499011136

147499011136 is an abundant number, since it is smaller than the sum of its proper divisors (150449838101).

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

147499011136 is an frugal number, since it uses more digits than its factorization.

147499011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 147499011136 in words is "one hundred forty-seven billion, four hundred ninety-nine million, eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 787 976 1574 1952 3148 3721 3904 6296 7442 12592 14884 25184 29768 48007 50368 59536 96014 119072 192028 238144 384056 619369 768112 1238738 1536224 2477476 2928427 3072448 4954952 5856854 9909904 11713708 19819808 23427416 37781509 39639616 46854832 75563018 93709664 151126036 187419328 302252072 604504144 1209008288 2304672049 2418016576 4609344098 9218688196 18437376392 36874752784 73749505568 147499011136