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64880528742 = 23423313311697
BaseRepresentation
bin111100011011001011…
…100100110101100110
320012110122011100120000
4330123023210311212
52030333403404432
645450010522130
74454541252321
oct743313446546
9205418140500
1064880528742
1125574404597
12106a8436346
13616c918713
1431d6b357b8
151a4ae5a57c
hexf1b2e4d66

64880528742 has 160 divisors (see below), whose sum is σ = 157160577024. Its totient is φ = 19946995200.

The previous prime is 64880528731. The next prime is 64880528743. The reversal of 64880528742 is 24782508846.

64880528742 is a `hidden beast` number, since 6 + 48 + 8 + 0 + 528 + 74 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64880528743) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38231638 + ... + 38233334.

Almost surely, 264880528742 is an apocalyptic number.

64880528742 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64880528742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78580288512).

64880528742 is an abundant number, since it is smaller than the sum of its proper divisors (92280048282).

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

64880528742 is a wasteful number, since it uses less digits than its factorization.

64880528742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 64880528742 in words is "sixty-four billion, eight hundred eighty million, five hundred twenty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 81 93 138 162 186 207 279 331 414 558 621 662 713 837 993 1242 1426 1674 1697 1863 1986 2139 2511 2979 3394 3726 4278 5022 5091 5958 6417 7613 8937 10182 10261 12834 15226 15273 17874 19251 20522 22839 26811 30546 30783 38502 39031 45678 45819 52607 53622 57753 61566 68517 78062 91638 92349 105214 115506 117093 137034 137457 157821 184698 205551 234186 236003 274914 277047 315642 351279 411102 472006 473463 554094 561707 616653 702558 708009 831141 946926 1053837 1123414 1209961 1233306 1416018 1420389 1662282 1685121 2107674 2124027 2419922 2840778 3161511 3370242 3629883 4248054 4261167 5055363 6323022 6372081 7259766 8522334 10110726 10889649 12744162 12919261 15166089 17412917 19116243 21779298 25838522 30332178 32668947 34825834 38232486 38757783 45498267 52238751 65337894 77515566 90996534 98006841 104477502 116273349 156716253 196013682 232546698 313432506 348820047 400497091 470148759 697640094 800994182 940297518 1046460141 1201491273 1410446277 2092920282 2402982546 2820892554 3604473819 7208947638 10813421457 21626842914 32440264371 64880528742