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106058982480 = 24351167759341
BaseRepresentation
bin110001011000110011…
…0111010010001010000
3101010202102200112200020
41202301212322101100
53214202044414410
6120420044023440
710443145322313
oct1426146722120
9333672615606
10106058982480
1140a85592340
121867ab31b80
13a002b8a289
1451c1a2497a
152b5b123a70
hex18b19ba450

106058982480 has 160 divisors (see below), whose sum is σ = 359208044928. Its totient is φ = 25672857600.

The previous prime is 106058982479. The next prime is 106058982499. The reversal of 106058982480 is 84289850601.

It is a super-2 number, since 2×1060589824802 (a number of 23 digits) contains 22 as substring.

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, 1757610 + ... + 1816950.

Almost surely, 2106058982480 is an apocalyptic number.

106058982480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106058982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179604022464).

106058982480 is an abundant number, since it is smaller than the sum of its proper divisors (253149062448).

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

106058982480 is a wasteful number, since it uses less digits than its factorization.

106058982480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60045 (or 60039 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 106058982480 in words is "one hundred six billion, fifty-eight million, nine hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 677 880 1320 1354 2031 2640 2708 3385 4062 5416 6770 7447 8124 10155 10832 13540 14894 16248 20310 22341 27080 29788 32496 37235 40620 44682 54160 59341 59576 74470 81240 89364 111705 118682 119152 148940 162480 178023 178728 223410 237364 296705 297880 356046 357456 446820 474728 593410 595760 652751 712092 890115 893640 949456 1186820 1305502 1424184 1780230 1787280 1958253 2373640 2611004 2848368 3263755 3560460 3916506 4747280 5222008 6527510 7120920 7833012 9791265 10444016 13055020 14241840 15666024 19582530 26110040 31332048 39165060 40173857 52220080 78330120 80347714 120521571 156660240 160695428 200869285 241043142 321390856 401738570 441912427 482086284 602607855 642781712 803477140 883824854 964172568 1205215710 1325737281 1606954280 1767649708 1928345136 2209562135 2410431420 2651474562 3213908560 3535299416 4419124270 4820862840 5302949124 6628686405 7070598832 8838248540 9641725680 10605898248 13257372810 17676497080 21211796496 26514745620 35352994160 53029491240 106058982480