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151746164440 = 235132961164963
BaseRepresentation
bin1000110101010011000…
…1101011011011011000
3112111200110011212011121
42031110301223123120
54441234004230230
6153413342535024
713651261054453
oct2152461533330
9474613155147
10151746164440
115939a832362
12254ab597474
1311404270360
1474b765249a
153e3205177a
hex2354c6b6d8

151746164440 has 128 divisors (see below), whose sum is σ = 386609630400. Its totient is φ = 53210142720.

The previous prime is 151746164417. The next prime is 151746164491. The reversal of 151746164440 is 44461647151.

151746164440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837399 + ... + 1002361.

Almost surely, 2151746164440 is an apocalyptic number.

151746164440 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 151746164440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193304815200).

151746164440 is an abundant number, since it is smaller than the sum of its proper divisors (234863465960).

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

151746164440 is a wasteful number, since it uses less digits than its factorization.

151746164440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165077 (or 165073 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 151746164440 in words is "one hundred fifty-one billion, seven hundred forty-six million, one hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 61 65 104 116 122 130 145 232 244 260 290 305 377 488 520 580 610 754 793 1160 1220 1508 1586 1769 1885 2440 3016 3172 3538 3770 3965 6344 7076 7540 7930 8845 14152 15080 15860 17690 22997 31720 35380 45994 70760 91988 114985 164963 183976 229970 329926 459940 659852 824815 919880 1319704 1649630 2144519 3299260 4289038 4783927 6598520 8578076 9567854 10062743 10722595 17156152 19135708 20125486 21445190 23919635 38271416 40250972 42890380 47839270 50313715 62191051 80501944 85780760 95678540 100627430 124382102 130815659 191357080 201254860 248764204 261631318 291819547 310955255 402509720 497528408 523262636 583639094 621910510 654078295 1046525272 1167278188 1243821020 1308156590 1459097735 2334556376 2487642040 2616313180 2918195470 3793654111 5232626360 5836390940 7587308222 11672781880 15174616444 18968270555 30349232888 37936541110 75873082220 151746164440