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149049272760 = 23351775796517
BaseRepresentation
bin1000101011010000000…
…1110110100110111000
3112020201111111120021120
42022310001312212320
54420223103212020
6152250003105240
713524402625503
oct2126401664670
9466644446246
10149049272760
1158236479763
1224a78372220
131109460466b
1472dd3cc13a
153d253d2740
hex22b40769b8

149049272760 has 128 divisors (see below), whose sum is σ = 474080973120. Its totient is φ = 37358641152.

The previous prime is 149049272717. The next prime is 149049272783. The reversal of 149049272760 is 67272940941.

It is a Cunningham number, because it is equal to 3860692-1.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 1496022 + ... + 1592538.

Almost surely, 2149049272760 is an apocalyptic number.

149049272760 is a gapful number since it is divisible by the number (10) 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 149049272760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237040486560).

149049272760 is an abundant number, since it is smaller than the sum of its proper divisors (325031700360).

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

149049272760 is a wasteful number, since it uses less digits than its factorization.

149049272760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97305 (or 97301 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 149049272760 in words is "one hundred forty-nine billion, forty-nine million, two hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 757 1020 1514 2040 2271 3028 3785 4542 6056 7570 9084 11355 12869 15140 18168 22710 25738 30280 38607 45420 51476 64345 77214 90840 96517 102952 128690 154428 193034 193035 257380 289551 308856 386068 386070 482585 514760 579102 772136 772140 965170 1158204 1447755 1544280 1640789 1930340 2316408 2895510 3281578 3860680 4922367 5791020 6563156 8203945 9844734 11582040 13126312 16407890 19689468 24611835 32815780 39378936 49223670 65631560 73063369 98447340 146126738 196894680 219190107 292253476 365316845 438380214 584506952 730633690 876760428 1095950535 1242077273 1461267380 1753520856 2191901070 2484154546 2922534760 3726231819 4383802140 4968309092 6210386365 7452463638 8767604280 9936618184 12420772730 14904927276 18631159095 24841545460 29809854552 37262318190 49683090920 74524636380 149049272760