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399991316920 = 235137140926489
BaseRepresentation
bin1011101001000010101…
…01110010000110111000
31102020110002020020001021
411310201111302012320
523023140234120140
6503430430032224
740620105044626
oct5644125620670
91366402206037
10399991316920
111446a97416a8
1265630348674
132b9468bb020
1415506d82516
15a610c80b4a
hex5d215721b8

399991316920 has 128 divisors (see below), whose sum is σ = 985300848000. Its totient is φ = 145247477760.

The previous prime is 399991316909. The next prime is 399991316947. The reversal of 399991316920 is 29613199993.

It is a super-2 number, since 2×3999913169202 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15087036 + ... + 15113524.

It is an arithmetic number, because the mean of its divisors is an integer number (7697662875).

Almost surely, 2399991316920 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 399991316920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492650424000).

399991316920 is an abundant number, since it is smaller than the sum of its proper divisors (585309531080).

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

399991316920 is a wasteful number, since it uses less digits than its factorization.

399991316920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26993 (or 26989 counting only the distinct ones).

The product of its (nonzero) digits is 6377292, while the sum is 61.

The spelling of 399991316920 in words is "three hundred ninety-nine billion, nine hundred ninety-one million, three hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 409 520 568 710 818 923 1420 1636 1846 2045 2840 3272 3692 4090 4615 5317 7384 8180 9230 10634 16360 18460 21268 26489 26585 29039 36920 42536 52978 53170 58078 105956 106340 116156 132445 145195 211912 212680 232312 264890 290390 344357 377507 529780 580780 688714 755014 1059560 1161560 1377428 1510028 1721785 1880719 1887535 2754856 3020056 3443570 3761438 3775070 6887140 7522876 7550140 9403595 10834001 13774280 15045752 15100280 18807190 21668002 24449347 37614380 43336004 48898694 54170005 75228760 86672008 97797388 108340010 122246735 140842013 195594776 216680020 244493470 281684026 433360040 488986940 563368052 704210065 769214071 977973880 1126736104 1408420130 1538428142 2816840260 3076856284 3846070355 5633680520 6153712568 7692140710 9999782923 15384281420 19999565846 30768562840 39999131692 49998914615 79998263384 99997829230 199995658460 399991316920