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34071631206700 = 22521912454772671
BaseRepresentation
bin1111011111100111010110…
…11110011001100100101100
311110122012211120010210012211
413233303223132121210230
513431212200042103300
6200244142530340204
710114410532534543
oct757635336314454
9143565746123184
1034071631206700
11a9467746304aa
1239a338842a664
131601c305c3399
1485b10bbdb15a
153e14346aa4ba
hex1efceb79992c

34071631206700 has 72 divisors (see below), whose sum is σ = 74326586793984. Its totient is φ = 13556559432000.

The previous prime is 34071631206673. The next prime is 34071631206719. The reversal of 34071631206700 is 760213617043.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468811365 + ... + 468884035.

It is an arithmetic number, because the mean of its divisors is an integer number (1032313705472).

Almost surely, 234071631206700 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 34071631206700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37163293396992).

34071631206700 is an abundant number, since it is smaller than the sum of its proper divisors (40254955587284).

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

34071631206700 is a wasteful number, since it uses less digits than its factorization.

34071631206700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97423 (or 97416 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 34071631206700 in words is "thirty-four trillion, seventy-one billion, six hundred thirty-one million, two hundred six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 9550 19100 24547 49094 72671 98188 122735 145342 245470 290684 363355 490940 613675 726710 1227350 1453420 1816775 2454700 3633550 4688477 7267100 9376954 13880161 18753908 23442385 27760322 46884770 55520644 69400805 93769540 117211925 138801610 234423850 277603220 347004025 468847700 694008050 1388016100 1783855037 3567710074 7135420148 8919275185 17838550370 35677100740 44596375925 89192751850 178385503700 340716312067 681432624134 1362865248268 1703581560335 3407163120670 6814326241340 8517907801675 17035815603350 34071631206700