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5414920992 = 2532133739089
BaseRepresentation
bin1010000101100000…
…10010001100100000
3111222101010111011100
411002300102030200
542042204432432
62253152314400
7251121032445
oct50260221440
914871114140
105414920992
112329644318
121071542a00
13683ac5880
1439522b9cc
1521a5b607c
hex142c12320

5414920992 has 144 divisors (see below), whose sum is σ = 17031825720. Its totient is φ = 1621057536.

The previous prime is 5414920991. The next prime is 5414920993. The reversal of 5414920992 is 2990294145.

It is an interprime number because it is at equal distance from previous prime (5414920991) and next prime (5414920993).

It can be written as a sum of positive squares in 4 ways, for example, as 4382969616 + 1031951376 = 66204^2 + 32124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5414920991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118984 + ... + 158072.

Almost surely, 25414920992 is an apocalyptic number.

5414920992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5414920992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515912860).

5414920992 is an abundant number, since it is smaller than the sum of its proper divisors (11616904728).

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

5414920992 is a wasteful number, since it uses less digits than its factorization.

5414920992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39155 (or 39144 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5414920992 is about 73586.1467397227. The cubic root of 5414920992 is about 1756.0250548605.

The spelling of 5414920992 in words is "five billion, four hundred fourteen million, nine hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 72 74 78 96 104 111 117 144 148 156 208 222 234 288 296 312 333 416 444 468 481 592 624 666 888 936 962 1184 1248 1332 1443 1776 1872 1924 2664 2886 3552 3744 3848 4329 5328 5772 7696 8658 10656 11544 15392 17316 23088 34632 39089 46176 69264 78178 117267 138528 156356 234534 312712 351801 469068 508157 625424 703602 938136 1016314 1250848 1407204 1446293 1524471 1876272 2032628 2814408 2892586 3048942 3752544 4065256 4338879 4573413 5628816 5785172 6097884 8130512 8677758 9146826 11257632 11570344 12195768 13016637 16261024 17355516 18293652 18801809 23140688 24391536 26033274 34711032 36587304 37603618 46281376 48783072 52066548 56405427 69422064 73174608 75207236 104133096 112810854 138844128 146349216 150414472 169216281 208266192 225621708 300828944 338432562 416532384 451243416 601657888 676865124 902486832 1353730248 1804973664 2707460496 5414920992