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5401059006 = 2372291793539
BaseRepresentation
bin1010000011110110…
…11001111010111110
3111221102001020002110
411001323121322332
542030132342011
62251535234450
7250562146500
oct50173317276
914842036073
105401059006
112321836632
121068978a26
13680c81205
1439345dd70
15219278ba6
hex141ed9ebe

5401059006 has 96 divisors (see below), whose sum is σ = 13075344000. Its totient is φ = 1481204928.

The previous prime is 5401058981. The next prime is 5401059017. The reversal of 5401059006 is 6009501045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1524385 + ... + 1527923.

It is an arithmetic number, because the mean of its divisors is an integer number (136201500).

Almost surely, 25401059006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5401059006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537672000).

5401059006 is an abundant number, since it is smaller than the sum of its proper divisors (7674284994).

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

5401059006 is a wasteful number, since it uses less digits than its factorization.

5401059006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5401059006 is about 73491.8975534038. The cubic root of 5401059006 is about 1754.5253225546.

The spelling of 5401059006 in words is "five billion, four hundred one million, fifty-nine thousand, six".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 179 203 294 358 406 537 609 1074 1218 1253 1421 2506 2842 3539 3759 4263 5191 7078 7518 8526 8771 10382 10617 15573 17542 21234 24773 26313 31146 36337 49546 52626 72674 74319 102631 109011 148638 173411 205262 218022 254359 307893 346822 508718 520233 615786 633481 718417 763077 1040466 1266962 1436834 1526154 1900443 2155251 3800886 4310502 4434367 5028919 8868734 10057838 13303101 15086757 18370949 26606202 30173514 31040569 36741898 55112847 62081138 93121707 110225694 128596643 186243414 257193286 385789929 771579858 900176501 1800353002 2700529503 5401059006