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132726612066672 = 243131517611851023
BaseRepresentation
bin11110001011011011010010…
…100100001000000101110000
3122101221112120210122121000210
4132023123102210020011300
5114344043100142113142
61150141432553144120
736646116114652341
oct3613332244100560
9571845523577023
10132726612066672
1139322049377238
1212a773819bb040
13590a0b178bbb0
1424ac0064520c8
1510527ccad549c
hex78b6d2908170

132726612066672 has 160 divisors (see below), whose sum is σ = 372186254555136. Its totient is φ = 40515169536000.

The previous prime is 132726612066611. The next prime is 132726612066683. The reversal of 132726612066672 is 276660216627231.

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, 70778953 + ... + 72629975.

Almost surely, 2132726612066672 is an apocalyptic number.

132726612066672 is a gapful number since it is divisible by the number (12) 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 132726612066672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186093127277568).

132726612066672 is an abundant number, since it is smaller than the sum of its proper divisors (239459642488464).

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

132726612066672 is a wasteful number, since it uses less digits than its factorization.

132726612066672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851959 (or 1851953 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 132726612066672 in words is "one hundred thirty-two trillion, seven hundred twenty-six billion, six hundred twelve million, sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 151 156 208 302 312 453 604 624 761 906 1208 1522 1812 1963 2283 2416 3044 3624 3926 4566 5889 6088 7248 7852 9132 9893 11778 12176 15704 18264 19786 23556 29679 31408 36528 39572 47112 59358 79144 94224 114911 118716 158288 229822 237432 344733 459644 474864 689466 919288 1378932 1493843 1838576 1851023 2757864 2987686 3702046 4481529 5515728 5553069 5975372 7404092 8963058 11106138 11950744 14808184 17926116 22212276 23901488 24063299 29616368 35852232 44424552 48126598 71704464 72189897 88849104 96253196 144379794 192506392 279504473 288759588 385012784 559008946 577519176 838513419 1118017892 1155038352 1408628503 1677026838 2236035784 2817257006 3354053676 3633558149 4225885509 4472071568 5634514012 6708107352 7267116298 8451771018 10900674447 11269028024 13416214704 14534232596 16903542036 18312170539 21801348894 22538056048 29068465192 33807084072 36624341078 43602697788 54936511617 58136930384 67614168144 73248682156 87205395576 109873023234 146497364312 174410791152 212702903953 219746046468 292994728624 425405807906 439492092936 638108711859 850811615812 878984185872 1276217423718 1701623231624 2552434847436 2765137751389 3403246463248 5104869694872 5530275502778 8295413254167 10209739389744 11060551005556 16590826508334 22121102011112 33181653016668 44242204022224 66363306033336 132726612066672