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148107656730 = 235114373142979
BaseRepresentation
bin1000100111101111100…
…1110111111000011010
3112011021212200111220210
42021323321313320122
54411311030003410
6152012325031550
713462150211325
oct2117371677032
9464255614823
10148107656730
11578a2a026a0
1224854b555b6
1310c744c9a07
14725031b7bc
153cbc8d5220
hex227be77e1a

148107656730 has 128 divisors (see below), whose sum is σ = 402229048320. Its totient is φ = 34589237760.

The previous prime is 148107656701. The next prime is 148107656737. The reversal of 148107656730 is 37656701841.

It is a self number, because there is not a number n which added to its sum of digits gives 148107656730.

It is not an unprimeable number, because it can be changed into a prime (148107656737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964381 + ... + 1107359.

It is an arithmetic number, because the mean of its divisors is an integer number (3142414440).

Almost surely, 2148107656730 is an apocalyptic number.

148107656730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148107656730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201114524160).

148107656730 is an abundant number, since it is smaller than the sum of its proper divisors (254121391590).

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

148107656730 is a wasteful number, since it uses less digits than its factorization.

148107656730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143116.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 148107656730 in words is "one hundred forty-eight billion, one hundred seven million, six hundred fifty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 73 86 110 129 146 165 215 219 258 330 365 430 438 473 645 730 803 946 1095 1290 1419 1606 2190 2365 2409 2838 3139 4015 4730 4818 6278 7095 8030 9417 12045 14190 15695 18834 24090 31390 34529 47085 69058 94170 103587 142979 172645 207174 285958 345290 428937 517935 714895 857874 1035870 1429790 1572769 2144685 3145538 4289370 4718307 6148097 7863845 9436614 10437467 12296194 15727690 18444291 20874934 23591535 30740485 31312401 36888582 47183070 52187335 61480970 62624802 67629067 92221455 104374670 114812137 135258134 156562005 184442910 202887201 229624274 313124010 338145335 344436411 405774402 448811081 574060685 676290670 688872822 897622162 1014436005 1148121370 1346433243 1722182055 2028872010 2244055405 2692866486 3444364110 4488110810 4936921891 6732166215 9873843782 13464332430 14810765673 24684609455 29621531346 49369218910 74053828365 148107656730