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5499812352 = 29319199947
BaseRepresentation
bin1010001111101000…
…00111101000000000
3112012021212102012210
411013310013220000
542230422443402
62305424022120
7253201430226
oct50764075000
915167772183
105499812352
112372556471
121095a61940
13698579448
143a2608b16
15222c8406c
hex147d07a00

5499812352 has 160 divisors (see below), whose sum is σ = 15516864000. Its totient is φ = 1726230528.

The previous prime is 5499812347. The next prime is 5499812369. The reversal of 5499812352 is 2532189945.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5807143 + ... + 5808089.

It is an arithmetic number, because the mean of its divisors is an integer number (96980400).

Almost surely, 25499812352 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 5499812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758432000).

5499812352 is an abundant number, since it is smaller than the sum of its proper divisors (10017051648).

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

5499812352 is a wasteful number, since it uses less digits than its factorization.

5499812352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1170 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 5499812352 is about 74160.7197376077. The cubic root of 5499812352 is about 1765.1540928043.

The spelling of 5499812352 in words is "five billion, four hundred ninety-nine million, eight hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 199 228 256 304 384 398 456 512 597 608 768 796 912 947 1194 1216 1536 1592 1824 1894 2388 2432 2841 3184 3648 3781 3788 4776 4864 5682 6368 7296 7562 7576 9552 9728 11343 11364 12736 14592 15124 15152 17993 19104 22686 22728 25472 29184 30248 30304 35986 38208 45372 45456 50944 53979 60496 60608 71972 76416 90744 90912 101888 107958 120992 121216 143944 152832 181488 181824 188453 215916 241984 242432 287888 305664 362976 363648 376906 431832 483968 484864 565359 575776 725952 727296 753812 863664 967936 1130718 1151552 1451904 1454592 1507624 1727328 1935872 2261436 2303104 2903808 3015248 3454656 3580607 4522872 4606208 5807616 6030496 6909312 7161214 9045744 9212416 10741821 12060992 13818624 14322428 18091488 21483642 24121984 27637248 28644856 36182976 42967284 48243968 57289712 72365952 85934568 96487936 114579424 144731904 171869136 229158848 289463808 343738272 458317696 687476544 916635392 1374953088 1833270784 2749906176 5499812352