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490121177952 = 25374117788951
BaseRepresentation
bin1110010000111010111…
…11111010101101100000
31201212002101110120000110
413020131133322231200
531012232010143302
61013054125451320
750260442163030
oct7103537725540
91655071416013
10490121177952
1117994a69a25a
127aba4710b40
13372ab5aa743
1419a172058c0
15cb3870eb6c
hex721d7fab60

490121177952 has 96 divisors (see below), whose sum is σ = 1506226143744. Its totient is φ = 136619136000.

The previous prime is 490121177933. The next prime is 490121177957. The reversal of 490121177952 is 259771121094.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490121177957) 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, 8866924 + ... + 8922027.

It is an arithmetic number, because the mean of its divisors is an integer number (15689855664).

Almost surely, 2490121177952 is an apocalyptic number.

490121177952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

490121177952 is an abundant number, since it is smaller than the sum of its proper divisors (1016104965792).

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

490121177952 is a wasteful number, since it uses less digits than its factorization.

490121177952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17789012 (or 17789004 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The spelling of 490121177952 in words is "four hundred ninety billion, one hundred twenty-one million, one hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 27552 17788951 35577902 53366853 71155804 106733706 124522657 142311608 213467412 249045314 284623216 373567971 426934824 498090628 569246432 729346991 747135942 853869648 996181256 1458693982 1494271884 1707739296 1992362512 2188040973 2917387964 2988543768 3984725024 4376081946 5105428937 5834775928 5977087536 8752163892 10210857874 11669551856 11954175072 15316286811 17504327784 20421715748 23339103712 30632573622 35008655568 40843431496 61265147244 70017311136 81686862992 122530294488 163373725984 245060588976 490121177952