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149720088441792 = 26311175519403889
BaseRepresentation
bin100010000010101101101100…
…101011111111001111000000
3201122010002201101111100021010
4202002231230223333033000
5124111003220120114132
61250232243100000520
743351630235600511
oct4202555453771700
9648102641440233
10149720088441792
1143783a29804680
121496090a830140
13657070b83c86b
1428d86c3222a08
15124986a65b6cc
hex882b6caff3c0

149720088441792 has 112 divisors (see below), whose sum is σ = 432150150988800. Its totient is φ = 45369352949760.

The previous prime is 149720088441787. The next prime is 149720088441799. The reversal of 149720088441792 is 297144880027941.

It is a happy number.

149720088441792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1497200884417922 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149720088441799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370494184 + ... + 370898072.

Almost surely, 2149720088441792 is an apocalyptic number.

149720088441792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149720088441792 is an abundant number, since it is smaller than the sum of its proper divisors (282430062547008).

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

149720088441792 is a wasteful number, since it uses less digits than its factorization.

149720088441792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579434 (or 579424 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 149720088441792 in words is "one hundred forty-nine trillion, seven hundred twenty billion, eighty-eight million, four hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 175519 351038 403889 526557 702076 807778 1053114 1211667 1404152 1615556 1930709 2106228 2423334 2808304 3231112 3861418 4212456 4442779 4846668 5616608 5792127 6462224 7722836 8424912 8885558 9693336 11233216 11584254 12924448 13328337 15445672 16849824 17771116 19386672 23168508 25848896 26656674 30891344 33699648 35542232 38773344 46337016 53313348 61782688 71084464 77546688 92674032 106626696 123565376 142168928 185348064 213253392 284337856 370696128 426506784 853013568 70890193391 141780386782 212670580173 283560773564 425341160346 567121547128 779792127301 850682320692 1134243094256 1559584254602 1701364641384 2268486188512 2339376381903 3119168509204 3402729282768 4536972377024 4678752763806 6238337018408 6805458565536 9357505527612 12476674036816 13610917131072 18715011055224 24953348073632 37430022110448 49906696147264 74860044220896 149720088441792