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545419430472 = 233729279140111
BaseRepresentation
bin1111110111111011000…
…10000000101001001000
31221010211012212211202010
413323331202000221020
532414004333233342
61054321235135520
754256000444110
oct7737542005110
91833735784663
10545419430472
111a034705a8a4
1289857a445a0
133c581c14617
141c581474040
15e2c32c229c
hex7efd880a48

545419430472 has 128 divisors (see below), whose sum is σ = 1612694937600. Its totient is φ = 150402873600.

The previous prime is 545419430471. The next prime is 545419430473. The reversal of 545419430472 is 274034914545.

It is an interprime number because it is at equal distance from previous prime (545419430471) and next prime (545419430473).

It is not an unprimeable number, because it can be changed into a prime (545419430471) 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, 13577697 + ... + 13617807.

It is an arithmetic number, because the mean of its divisors is an integer number (12599179200).

Almost surely, 2545419430472 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 545419430472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806347468800).

545419430472 is an abundant number, since it is smaller than the sum of its proper divisors (1067275507128).

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

545419430472 is a wasteful number, since it uses less digits than its factorization.

545419430472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42947 (or 42943 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 545419430472 in words is "five hundred forty-five billion, four hundred nineteen million, four hundred thirty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 2791 4872 5582 8373 11164 16746 19537 22328 33492 39074 40111 58611 66984 78148 80222 80939 117222 120333 156296 160444 161878 234444 240666 242817 280777 320888 323756 468888 481332 485634 561554 566573 647512 842331 962664 971268 1123108 1133146 1163219 1684662 1699719 1942536 2246216 2266292 2326438 3369324 3399438 3489657 4532584 4652876 6738648 6798876 6979314 8142533 9305752 13597752 13958628 16285066 24427599 27917256 32570132 48855198 65140264 97710396 111949801 195420792 223899602 335849403 447799204 671698806 783648607 895598408 1343397612 1567297214 2350945821 2686795224 3134594428 3246544229 4701891642 6269188856 6493088458 9403783284 9739632687 12986176916 18807566568 19479265374 22725809603 25972353832 38958530748 45451619206 68177428809 77917061496 90903238412 136354857618 181806476824 272709715236 545419430472