Search a number
-
+
4957549472100 = 22352131811715541
BaseRepresentation
bin100100000100100010011…
…1110011010100101100100
3122112221022010221212121010
41020021010332122211210
51122211030131101400
614313244454222220
71021112461141131
oct110110476324544
918487263855533
104957549472100
111641537485655
12680981354970
1329c6584145c4
14131d37965588
1588e55a32450
hex48244f9a964

4957549472100 has 144 divisors (see below), whose sum is σ = 14456048878656. Its totient is φ = 1311675456000.

The previous prime is 4957549472063. The next prime is 4957549472143. The reversal of 4957549472100 is 12749457594.

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, 318990330 + ... + 319005870.

It is an arithmetic number, because the mean of its divisors is an integer number (100389228324).

Almost surely, 24957549472100 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 4957549472100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228024439328).

4957549472100 is an abundant number, since it is smaller than the sum of its proper divisors (9498499406556).

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

4957549472100 is a wasteful number, since it uses less digits than its factorization.

4957549472100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23806 (or 23799 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 4957549472100 in words is "four trillion, nine hundred fifty-seven billion, five hundred forty-nine million, four hundred seventy-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 8117 9825 13100 15541 16234 19650 24351 31082 32468 39300 40585 46623 48702 62164 77705 81170 93246 97404 121755 155410 162340 186492 202925 233115 243510 310820 388525 405850 466230 487020 608775 777050 811700 932460 1063327 1165575 1217550 1554100 2035871 2126654 2331150 2435100 3189981 4071742 4253308 4662300 5316635 6107613 6379962 8143484 10179355 10633270 12215226 12759924 15949905 20358710 21266540 24430452 26583175 30538065 31899810 40717420 50896775 53166350 61076130 63799620 79749525 101793550 106332700 122152260 126146297 152690325 159499050 203587100 252292594 305380650 318998100 378438891 504585188 610761300 630731485 756877782 1261462970 1513755564 1892194455 2522925940 3153657425 3784388910 6307314850 7568777820 9460972275 12614629700 16525164907 18921944550 33050329814 37843889100 49575494721 66100659628 82625824535 99150989442 165251649070 198301978884 247877473605 330503298140 413129122675 495754947210 826258245350 991509894420 1239387368025 1652516490700 2478774736050 4957549472100