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7153348152 = 23319127149829
BaseRepresentation
bin1101010100101111…
…10110111000111000
3200110112021201220110
412222113312320320
5104122224120102
63141453024320
7342160312266
oct65227667070
920415251813
107153348152
113040973385
1214777850a0
138a0007ab2
144bc077436
152bd00a86c
hex1aa5f6e38

7153348152 has 128 divisors (see below), whose sum is σ = 19123200000. Its totient is φ = 2223438336.

The previous prime is 7153348099. The next prime is 7153348157. The reversal of 7153348152 is 2518433517.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7153348152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7153348157) by changing a digit.

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, 8628474 + ... + 8629302.

It is an arithmetic number, because the mean of its divisors is an integer number (149400000).

Almost surely, 27153348152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7153348152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561600000).

7153348152 is an abundant number, since it is smaller than the sum of its proper divisors (11969851848).

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

7153348152 is a wasteful number, since it uses less digits than its factorization.

7153348152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 7153348152 is about 84577.4683470722. The cubic root of 7153348152 is about 1926.7991861106.

The spelling of 7153348152 in words is "seven billion, one hundred fifty-three million, three hundred forty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 149 152 228 254 298 381 447 456 508 596 762 829 894 1016 1192 1524 1658 1788 2413 2487 2831 3048 3316 3576 4826 4974 5662 6632 7239 8493 9652 9948 11324 14478 15751 16986 18923 19304 19896 22648 28956 31502 33972 37846 47253 56769 57912 63004 67944 75692 94506 105283 113538 123521 126008 151384 189012 210566 227076 247042 315849 359537 370563 378024 421132 454152 494084 631698 719074 741126 842264 988168 1078611 1263396 1438148 1482252 2000377 2157222 2346899 2526792 2876296 2964504 4000754 4314444 4693798 6001131 7040697 8001508 8628888 9387596 12002262 14081394 15687167 16003016 18775192 24004524 28162788 31374334 47061501 48009048 56325576 62748668 94123002 125497336 188246004 298056173 376492008 596112346 894168519 1192224692 1788337038 2384449384 3576674076 7153348152