Search a number
-
+
106822419638716 = 221937229823320149
BaseRepresentation
bin11000010010011110001000…
…011000000110100110111100
3112000020010100002111110202001
4120102132020120012212330
5103000134303411414331
61015105313032512044
731333444066221565
oct3022361030064674
9460203302443661
10106822419638716
1131045152038761
12bb92a9824b624
13477b407200802
141c5433874116c
15c53a69e1a561
hex6127886069bc

106822419638716 has 96 divisors (see below), whose sum is σ = 203013716360000. Its totient is φ = 49009147987968.

The previous prime is 106822419638713. The next prime is 106822419638741. The reversal of 106822419638716 is 617836914228601.

It is a super-2 number, since 2×1068224196387162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106822419638713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5301613810 + ... + 5301633958.

Almost surely, 2106822419638716 is an apocalyptic number.

It is an amenable number.

106822419638716 is a deficient number, since it is larger than the sum of its proper divisors (96191296721284).

106822419638716 is a wasteful number, since it uses less digits than its factorization.

106822419638716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28671 (or 28669 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 106822419638716 in words is "one hundred six trillion, eight hundred twenty-two billion, four hundred nineteen million, six hundred thirty-eight thousand, seven hundred sixteen".

Divisors: 1 2 4 19 37 38 74 76 148 229 458 703 916 1406 2812 4351 8233 8473 8702 16466 16946 17404 20149 32932 33892 40298 80596 156427 160987 304621 312854 321974 382831 609242 625708 643948 745513 765662 1218484 1491026 1531324 1885357 2982052 3770714 4614121 5787799 7541428 9228242 11575598 14164747 18456484 23151196 28329494 35821783 56658988 69758209 71643566 87668299 139516418 143287132 165886717 170722477 175336598 279032836 331773434 341444954 350673196 663546868 682889908 1325405971 2650811942 3151847623 3243727063 5301623884 6137808529 6303695246 6487454126 12275617058 12607390492 12974908252 24551234116 37988058193 75976116386 116618362051 151952232772 233236724102 466473448204 721773105667 1405558153141 1443546211334 2811116306282 2887092422668 5622232612564 26705604909679 53411209819358 106822419638716